Simplex algorithm for hesitant fuzzy linear programming problem with hesitant cost coefficient
Publish place: Iranian Journal of Fuzzy Systems، Vol: 20، Issue: 1
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-20-1_010
تاریخ نمایه سازی: 27 دی 1401
Abstract:
In the real world, in most cases, such as industry, management, and even in daily life, we encounter optimization and decision-making problems that require the opinions of experts and masters on the problem to be able to make the best decision. In these cases, it is necessary to use an optimization problem with hesitant fuzzy parameters.There are few studies on hesitant fuzzy linear programming (HFLP) problems. Therefore,in this paper, we consider such problems.Especially, we study HFLP problems with hesitant cost coefficients. For this purpose,we propose the simplex method to solve the introduced optimization problems and draw a flowchart of the proposed method.Finally, by solving two illustrative examples with hesitant fuzzy information, we examine the applicability of the proposed method.
Keywords:
Hesitant fuzzy linear programming , Hesitant fuzzy number , Ranking function , Hesitant fuzzy simplex algorithm
Authors
S. Saghi
Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box ۳۶۱۹۹۹۵۱۶۱-۳۱۶, Tel-Fax No:+۹۸۲۳-۳۲۳۰۰۲۳۵, Shahrood, Iran.
A. Nazemi
Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box ۳۶۱۹۹۹۵۱۶۱-۳۱۶, Tel-Fax No:+۹۸۲۳-۳۲۳۰۰۲۳۵, Shahrood, Iran.
S. Effati
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
M. Ranjbar
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.